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Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  1.0 & -5.00 x_{1} & +  7.00 x_{2} & -9.00 x_{3} & +  1.00 x_{4} & -9.00 x_{5}\\
 x_{7}   &  -2.0 & -10.00 x_{1} & -5.00 x_{2} & -9.00 x_{3} & -2.00 x_{4} & +  7.00 x_{5}\\
 x_{8}   &  3.0 & +  5.00 x_{1} & -6.00 x_{2} & -9.00 x_{3} & +  7.00 x_{4} & +  9.00 x_{5}\\
 x_{9}   &  1.0 & +  9.00 x_{1} & -8.00 x_{2} & -6.00 x_{3} & +  2.00 x_{4} & +  4.00 x_{5}\\
 x_{10}   &  0.0 & -7.00 x_{1} & -6.00 x_{2} & -1.00 x_{3} & -9.00 x_{4} & +  2.00 x_{5}\\
 x_{11}   &  -1.0 & + 10.00 x_{1} & + 10.00 x_{2} & -9.00 x_{3} & +  6.00 x_{4} & +  9.00 x_{5}\\
 x_{12}   &  -3.0 & +  6.00 x_{1} & +  8.00 x_{2} & -5.00 x_{3} & -4.00 x_{4} & +  6.00 x_{5}\\
 x_{13}   &  -1.0 & -9.00 x_{1} & -1.00 x_{2} & -9.00 x_{3} & -8.00 x_{4} & -5.00 x_{5}\\
 x_{14}   &  3.0 & +  2.00 x_{1} & +  1.00 x_{2} & -3.00 x_{3} & -3.00 x_{4} & -6.00 x_{5}\\
\hline
z    &  0.0 & +  5.00 x_{1} & +  2.00 x_{2} & -5.00 x_{3} & -4.00 x_{4} & +  1.00 x_{5}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{5}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,14$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  5.00 y_{6} & + 10.00 y_{7} & -5.00 y_{8} & -9.00 y_{9} & +  7.00 y_{10} & -10.00 y_{11} & -6.00 y_{12} & +  9.00 y_{13} & -2.00 y_{14}\\
 y_{2}   &  1.0 & -7.00 y_{6} & +  5.00 y_{7} & +  6.00 y_{8} & +  8.00 y_{9} & +  6.00 y_{10} & -10.00 y_{11} & -8.00 y_{12} & +  1.00 y_{13} & -1.00 y_{14}\\
 y_{3}   &  1.0 & +  9.00 y_{6} & +  9.00 y_{7} & +  9.00 y_{8} & +  6.00 y_{9} & +  1.00 y_{10} & +  9.00 y_{11} & +  5.00 y_{12} & +  9.00 y_{13} & +  3.00 y_{14}\\
 y_{4}   &  1.0 & -1.00 y_{6} & +  2.00 y_{7} & -7.00 y_{8} & -2.00 y_{9} & +  9.00 y_{10} & -6.00 y_{11} & +  4.00 y_{12} & +  8.00 y_{13} & +  3.00 y_{14}\\
 y_{5}   &  1.0 & +  9.00 y_{6} & -7.00 y_{7} & -9.00 y_{8} & -4.00 y_{9} & -2.00 y_{10} & -9.00 y_{11} & -6.00 y_{12} & +  5.00 y_{13} & +  6.00 y_{14}\\
\hline
z    &  -0 & -1.00 y_{6} & +  2.00 y_{7} & -3.00 y_{8} & -1.00 y_{9} &   & +  1.00 y_{11} & +  3.00 y_{12} & +  1.00 y_{13} & -3.00 y_{14}\\
\end{array}\]
Unbounded Dictionary!
Initialization returns unbounded dual dictionary after 3 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  56.0 & -31.25 y_{2} & -23.75 y_{5} & -31.25 y_{8} & + 146.00 y_{9} & + 147.00 y_{10} & -536.25 y_{11} & -398.50 y_{12} & + 159.00 y_{13} & + 109.25 y_{14}\\
 y_{6}   &  3.0 & -1.75 y_{2} & -1.25 y_{5} & -0.75 y_{8} & +  9.00 y_{9} & +  8.00 y_{10} & -28.75 y_{11} & -21.50 y_{12} & +  8.00 y_{13} & +  5.75 y_{14}\\
 y_{3}   &  64.0 & -36.00 y_{2} & -27.00 y_{5} & -18.00 y_{8} & + 186.00 y_{9} & + 163.00 y_{10} & -594.00 y_{11} & -445.00 y_{12} & + 180.00 y_{13} & + 129.00 y_{14}\\
 y_{4}   &  6.0 & -2.75 y_{2} & -2.25 y_{5} & -10.75 y_{8} & + 11.00 y_{9} & + 21.00 y_{10} & -53.75 y_{11} & -31.50 y_{12} & + 22.00 y_{13} & + 13.75 y_{14}\\
 y_{7}   &  4.0 & -2.25 y_{2} & -1.75 y_{5} & -2.25 y_{8} & + 11.00 y_{9} & + 10.00 y_{10} & -38.25 y_{11} & -28.50 y_{12} & + 11.00 y_{13} & +  8.25 y_{14}\\
\hline
z    &  5.0 & -2.75 y_{2} & -2.25 y_{5} & -6.75 y_{8} & + 12.00 y_{9} & + 12.00 y_{10} & -46.75 y_{11} & -32.50 y_{12} & + 15.00 y_{13} & +  7.75 y_{14}\\
\end{array}\]
Original Problem is Infeasible
Infeasible Problem.. Early Exit
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